Complex Burgers' equation in 2D SU(N) YM

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dc.creatorNeuberger, H.
dc.date2008-09-07
dc.date2008-10-23
dc.date.accessioned2026-07-07T12:15:34Z
dc.date.available2026-07-07T12:15:34Z
dc.descriptionAn integro-differential equation satisfied by an eigenvalue density defined as the logarithmic derivative of the average inverse characteristic polynomial of a Wilson loop in two dimensional pure Yang Mills theory with gauge group SU(N) is derived from two associated complex Burgers' equations, with viscosity given by 1/(2N). The Wilson loop does not intersect itself and Euclidean space-time is assumed flat and infinite. This result provides an extension of the infinite N solution of Durhuus and Olesen to finite N, but this extension is not unique.
dc.description10 pages; fixed typo in eq. 37, updated 1 reference and added 2 minor clarifying comments
dc.identifierhttps://arxiv.org/abs/0809.1238
dc.identifierhttp://arxiv.org/abs/0809.1238
dc.identifierPhys.Lett.B670:235-240,2008
dc.identifierdoi:10.1016/j.physletb.2008.11.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/211528
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.titleComplex Burgers' equation in 2D SU(N) YM
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